wine users - Aug 2015 - applicattion runs fine under x86_64 linux but not under wine with x686

I want to use two linux systems, both are with actual kernel versions:

1) 4.1.3-201.fc22.i686
2) 4.1.4-200.fc22.x86_64

I have a very old 16 bit program which works fine on a 4.1.4-200.fc22.x86_64 
but it does not work with the 4.1.3-201.fc22.i686.

The error message I see is not very helpful for me:
fixme:winediag:start_process Wine Staging 1.7.47 is a testing version containing
experimental patches.
fixme:winediag:start_process Please report bugs at http://bugs.wine-staging.com
(instead of winehq.org).
fixme:ole:RemUnknown_QueryInterface No interface for iid
{00000019-0000-0000-c000-000000000046}
fixme:int31:DPMI_CallRMProc DPMI real-mode call using DOS VM task system, not
fully tested!
wine: Unhandled privileged instruction at address 0x4600:0x0000ffff (thread
0024), starting debugger...
Unhandled exception: privileged instruction in vm86 code (4600:ffff).
-auto: cpu_i386.c:468: i386_stack_walk: Assertion `0' failed.
winedbg: Internal crash at 0xb77a0bc8

Can anyone give me a hint how to go deeper into the problem to solve it? As I
mentioned, it seems only depending of the underlying kernel version of my box.

Regards
 Klaus